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A note on sequence-covering mappings

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Let f: X → Y be a mapping. f is called a sequence-covering mapping if in case S is a convergent sequence containing its limit point in Y then there is a compact subset K of X such that f(K) = S. It is shown that each quotient and compact mapping of a metric space is sequence-covering.

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Authors and Affiliations

  1. Department of Mathematics, Zhangzhou Normal University, Zhangzhou, Fujian 363000, P.R. China, P.R. China

    Shou Lin

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  1. Shou Lin
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Lin, S. A note on sequence-covering mappings. Acta Math Hung 107, 187–191 (2005). https://doi.org/10.1007/s10474-005-0189-8

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  • DOI: https://doi.org/10.1007/s10474-005-0189-8

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